Answer:
For the first one, I believe you would need to use a rotation matrix; to rotate 90º counterclockwise, the matrices would look like ; you would then multiply those out. A reflection across the x-axis would be changing the sign of f(x) (from negative to positive or positive to negative), a reflection across the y-axis would be changing the sign of x, translation a units to the right would be subtracting a from x, translation b units up would be adding b to x. Rotation of 180º about the origin would be the same format as the first matrix, except it would be cos180 and cos0 on the top and sin180 sin0 on the bottom. Reflection across the y-axis would be changing the sign of x again.
OR
1. We know that, 'Translation shifts the figure in any direction'.
As, the function f(x) is translated 'a' units to the right, the new form of function is f(x-a).
Again, the function is translated 'b' units up, the final form of the function is f(x-a)+b.
2 and 3. We know that, ' Reflection flips the image over a line'.
As the function g(x) is reflected over y-axis, the new form of the function is g(-x).
As the function h(x) is reflected over x-axis, the new form of the function is -h(x).
4 , 5 and 6. We know that, 'Rotation turns the image around a point to a certain degree'.
Let us assume the function to be a point (x,y).
As the function is rotated by 90° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{90}R
90
(x,y) = ( -y,x ).
As the function is rotated by 180° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{180}R
180
(x,y) = ( -x,-y ).
As the function is rotated by 2700° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{270}R
270
(x,
Step-by-step explanation:hopes this helps lol?
you buy a 2 liter sprite for your friends. one serving of sprite is 250 ml. calculate the number of servings in one bottle. URGENT!!
1 liter is 1,000 ml .
250 ml is 1/4 of a liter .
There are 4 of them in 1 liter .
There are 8 of them in 2 liters.
Which graph represents the inequality y>1-3x
Answer:
b............ .......... which one is a b c d
For this case we must indicate the graph of the following inequality:
y≥1−3x
It is observed that inequality includes equality, so the boundary line of the graph will not be dotted, so we discard options D and C.
We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.
We test option A, we substitute the point (0,0) in the inequality, if it is fulfilled then the graph corresponds to it.
It is not fulfilled
We test the last option B, we choose the point (3,1) that belongs to the graph:
1≥1−3(3)
\1≥1−9
1≥−8
it is fulfilled
Answer:
The correct answer is c - the top part is shaded in and the line is DOTTED
X^3+2/3x^4-1/2x^2 integral
[tex] \frac{2 {x}^{5} }{15} + \frac{ {x}^{4} }{4} - \frac{ {x}^{3} }{6} + c[/tex]
simplified form =
[tex] \frac{ {x}^{3}(8 {x}^{2} + 15x - 10) }{60} + c[/tex]
Martin was 10 years old last year. This year, His brother's age is 2 times of Martin's. How old is Martin's brother this year?
help math..................
Answer:
6)C,120
7)B,60°
DOES THE ANSWER HELP YOU?
geometry proofs
help me please :)
Answer:
2) Right angles always equal 90°
3) m∠F = 90° and m∠G = 90° which means they have the same angle measure.
4) Removing the m and replacing with the congruent symbol.
I'm not too sure how this goes but it should be something like that.
WILL MARK BRAINLIEST HELP ASAP
Recall that the sum of the angle measures of a triangle is 180. Find the measures of the angles of a triangle if the measure of one angle is twice the measure of a second angle and the third angle measures 4 times the second angle decreased by 100.
The measure of the three angles are
Answer:
40 (angel 1), 80 (angel 2), 60 (angel 3)
Step-by-step explanation:
180= 2x + x + 4x - 100
180 + 100 = 2x + x + 4x
280 = 7x
280/7 = x
40 = x
f(x)=x+7
f(-1)
help!
Answer:
f(-1) = 6
Step-by-step explanation:
f(x) = x + 7 when x = -1
~Substitute
= (-1) + 7
~Simplify
= 6
Best of Luck!
x=-4 +6+ (11 +4(-3))
Answer:
x=1
Step-by-step explanation:
x = -4 + 6 + (11 + 4(-3)).
First get the numbers in the parentheses
x = -4 + 6 + (11 - 12)
Since 11 - 12 = -1. We can replace (11-12) with -1
x = -4 + 6 -1
Now add and subtract
x = 1
Evaluate (2 - 3)^(4) - 9÷3
⭕ -7
⭕ -2
⭕ 1
⭕2
which one??
Answer:
2
Step-by-step explanation:
(2 - 3)^(4) - 9÷3
-1^4-(-3)
-1-(-3)
-1+3=2
So the answer is 2,
Hope this Helps!
What is the value of 2 raised to negative 4.
Answer:
-2
Step-by-step explanation:
Your school
band needs to buy new percussion
equipment. The equipment will
cost $2450. You have collected
$812 in previous fundraisers. If
you sell sandwiches at $3.50 each,
how many sandwiches will you
need to sell to raise the remaining
funds?
Answer: 468 sandwiches
Step-by-step explanation:
subtract 812 from 2450. you're left with 1,638 dollars left.
divide 1638 by 3.5 and you get 468
7a - 5b + 4 i really need help with this. They are so confusing and I've been trying to them for like 2 days now.
No solution so 0. You can't simplify or factor in any way.
What is the slope of this line?
y = x + 12
m = [?]
Please help
The slope of the line is 1
Answer:
..................
Step-by-step explanation:
The slope of the line is 1.
Solve the equation.
19 = 14 + k
k=
Answer:
5
Step-by-step explanation:
19-14=5
Use graphing technology to find the domain of the function f(x) = x2.
That is a parabola.
All domain of a parabola are, (-∞,∞).
The range would be, (-∞, 0]
Lawrence spent $1.89 on a bottle of paint and $0.45 on a brush. What was the total amount he spent? Use the model to help you.
Anyone know 72 through 75?
Answer:
Ans
Step-by-step explanation:
72. 3x+5y
73. 3pq
74. 8a+8b
75. 4x^2+7x
the coordinates of t are given. the midpoint of ST is (5 -8) find the coordinates of point s
T(5,-15)
Answer:
use midpoint formula
(5,-1)
Solve for x: 5x + 1/3 (3x + 6) > 14
x> 12/5
x>2
x< 12/5
x<2
Answer:
Last option is correct
x<2
HELP EMERGENCY, I'll give brainiest
-1/2d + 3/8 - d = 1/4 + 3/4d +2
First combine like terms on both sides:
-1 1/2d + 3/8 = 2 1/4 + 3/4d
Add 1 1/2d to both sides:
3/8 = 2 1/4 + 2 1/4d
Subtract 2 1/4 from both sides:
-1 7/8 = 2 1/4d
Divide both sides by 2 1/4:
d = -5/6
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
[tex] \tt- \frac{ 1 }{ 2 } d+ \frac{ 3 }{ 8 } -d = \frac{ 1 }{ 4 } + \frac{ 3 }{ 4 } d+2 \\ [/tex][tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \tt- \frac{ 1 }{ 2 } d+ \frac{ 3 }{ 8 } -d = \frac{ 1 }{ 4 } + \frac{ 3 }{ 4 } d+2 \\ [/tex]
Combine [tex]\tt-\frac{1}{2}d[/tex] and -d to get [tex]\tt-\frac{3}{2}d[/tex].
[tex] \tt-\frac{3}{2}d+\frac{3}{8}=\frac{1}{4}+\frac{3}{4}d+2 \\ [/tex]
Because 1/4 and 8/4 have the same denominator, add them by adding their numerators.
[tex] \tt-\frac{3}{2}d+\frac{3}{8}=\frac{1+8}{4}+\frac{3}{4}d \\ [/tex]
Subtract [tex]\tt\frac{3}{4}d[/tex] from both sides.
[tex] \tt-\frac{3}{2}d+\frac{3}{8}-\frac{3}{4}d=\frac{9}{4} \\ [/tex]
Combine [tex]\tt-\frac{3}{2}d[/tex] and [tex]\tt-\frac{3}{4}d[/tex] to get [tex]\tt-\frac{9}{4}d[/tex].
[tex] \tt-\frac{9}{4}d+\frac{3}{8}=\frac{9}{4} \\ [/tex]
Subtract 3/8 from both sides.
[tex] \tt-\frac{9}{4}d=\frac{9}{4}-\frac{3}{8} \\ [/tex]
The least common multiple of 4 and 8 is 8. Convert 9/4 and 3/8 to fractions with denominator 8.
[tex] \tt-\frac{9}{4}d=\frac{18}{8}-\frac{3}{8} \\ [/tex]
Because 18/8 and 3/8 have the same denominator, subtract them by subtracting their numerators.
[tex] \tt-\frac{9}{4}d=\frac{18-3}{8} \\ [/tex]
Subtract 3 from 18 to get 15.
[tex] \tt-\frac{9}{4}d=\frac{15}{8} \\ [/tex]
Multiply both sides by - 4/9, the reciprocal of -9/4.
[tex] \tt \: d=\frac{15}{8}\left(-\frac{4}{9}\right) \\ [/tex]
Multiply 15/8 by -4/9 by multiplying the numerator by the numerator and the denominator by the denominator.
[tex] \tt \: d=\frac{15\left(-4\right)}{8\times 9} \\ [/tex]
Carry out the multiplications in the fraction ⇨ [tex]\tt\frac{15\left(-4\right)}{8\times 9}[/tex].
[tex] \tt \: d=\frac{-60}{72} \\ [/tex]
Reduce the fraction -60/72 to its lowest terms by extracting and cancelling out 12.
[tex] \boxed{ \boxed{ \bf \: d=-\frac{5}{6}\approx -0.833..}}[/tex]
4x - 3 = 2x + 5 please heeeeelp
Answer:
x=4
4x - 3 = 2x + 5
-2x +3 -2x +3
-------------------
2x=8
--- --
2. 2
______
x=4
12.
Find the Midpoint of (0,6) and (-4,8)
if you could show your work that'd be great
A. What do you know?
length = 25 cm, width = 18 cm, height = 10 cm
B. What do you want to find? Volume
Answer:
4500cm^3
Step-by-step explanation:
To find the volume multiply the length × width × height
25×18×10=4500
Answer:
4,500 cm³.
Step-by-step explanation:
Since L × W × H = V(olume), we get 25 × 18 × 10 which equals 4,500 cm³.
Find the distance between (2.0) and (8, -3)
Answer:
6, 3
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(4,7) and (10,3)
Answer:
The midpoint is (7,5)
Step-by-step explanation:
suppose your salary in 2013is $ 60,000 .Assuming an annual inflation rate is 6 % ,whats do you need to earn in 2021 in ordertohave the same purchasing power
Answer:
isjsjanammz
Step-by-step explanation:
bzbaiakxbnnsnakzkz
I need the awnser for number 1
Answer:
Angel Number 1: 90
Step-by-step explanation:
As you can see the angel it is located in is a right Angel or 90 degrees angel.
Answer:
∠1
Step-by-step explanation:
Since ∠1 shares a line and vertex with ∠3, it is the angle adjacent to ∠3.
How many sides does he count ?
Which postulate proves these two triangles are congruent?
Answer:
C. HL
Step-by-step explanation:
Since both triangles have a congruent hypotenuse (they share the same hypotenuse) and both have a 90° angle, with a congruent leg, then the postulate that proves these two triangles are congruent, would be the HL (hypotenuse leg) postulate.
